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Finding the Fourth Proportional to 190.68, 286.15 and 69.04

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Solution

The fourth proportional to 190.68, 286.15 and 69.04 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 286.15 = 69.04 : x
  2. Step 2: Convert to fraction form
    190.68/286.15 = 69.04/x
  3. Step 3: Cross multiply
    190.68x = 286.15 × 69.04
  4. Step 4: Simplify right side
    190.68x = 19,755.80
  5. Step 5: Solve for x
    x = 19,755.80/190.68
  6. Step 6: Final answer
    x = 103.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.